123551314000 has 40 divisors (see below), whose sum is σ = 298747082088. Its totient is φ = 49420524800.

The previous prime is 123551313989. The next prime is 123551314121. The reversal of 123551314000 is 413155321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1683296784 + 121868017216 = 41028^2 + 349096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×123551314000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30885829 + ... + 30889828.

Almost surely, 2^123551314000 is an apocalyptic number.

123551314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123551314000 is an abundant number, since it is smaller than the sum of its proper divisors (175195768088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123551314000 is an equidigital number, since it uses as much as digits as its factorization.

123551314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61775680 (or 61775664 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 123551314000 its reverse (413155321), we get a palindrome (123964469321).

The spelling of 123551314000 in words is "one hundred twenty-three billion, five hundred fifty-one million, three hundred fourteen thousand".